questions below:

2 - 3 Let vi= 5 - 8 , and w = -7 . Determine if w is in the subspace of R generated by v, and V2- 13 19 . . . Is w is in the subspace of R generated by v, and v2? O No YesFind the determinant by row reduction to echelon form. 1 2 2 0 - 8 0 2 2 8 3 -2 4 4 5 5 1 -4 5 3 7 0 2 2 13 4 Use row operations to reduce the matrix to echelon form. 1220-8 02283 -24455~D 14 537 022134 Find the determinant of the given matrix. 1 2 - 2 0 - 8 0 2 2 8 3 2 4 4 5 5 = D (Simplify your answer.) 1 4 5 3 7 0 2 2 13 4 Let E= {e1, e2, e3} be the standard basis for RS, B= (b,, b2, b3) be a basis for a vector space V, and T : RS - V be a linear transformation with the property that T(X1, X2, X3) = (X3 - X2 ) b1 - (X1 + X 3 ) 12 + ( X 1 - X 2 ) b3 . a. Compute T(e, ), T(e2), and T(e3). b. Compute [T (e1 ) ]B. [T (e2) ]B, and [T (e3) ]B. c. Find the matrix for T relative to E and B. . . . a. T(e1 ) = , T(e2) = ], and T(e3) = b. [T (@1) ]B =. [T(e2) ]B= , and [T(e3) ]B = c. The matrix for T relative to E and B is